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Finding the Fourth Proportional to 145,866.59, 218,882.87 and 116,471.21

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Solution

The fourth proportional to 145,866.59, 218,882.87 and 116,471.21 is: 174,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,866.59 : 218,882.87 = 116,471.21 : x
  2. Step 2: Convert to fraction form
    145,866.59/218,882.87 = 116,471.21/x
  3. Step 3: Cross multiply
    145,866.59x = 218,882.87 × 116,471.21
  4. Step 4: Simplify right side
    145,866.59x = 25,493,552,134.82
  5. Step 5: Solve for x
    x = 25,493,552,134.82/145,866.59
  6. Step 6: Final answer
    x = 174,773.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.